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Modeling with Mathematics: A Fourth Year Course

With the emphasis the Common Core State Standards (CCSS) places on modeling, Modeling With Mathematics: A Fourth Year Course (Fourth Year 2e) addresses these modeling requirements while exploring how mathematics is ever-present in solving real-world problems. Intended for students fulfilling a fourth year math credit, the Fourth Year 2e program helps solidify students’ understanding by providing a different kind of learning experience. With Fourth Year 2e students model real-world applications with a functions approach netting a deeper grasp of the important concepts necessary for success on the forthcoming Common Core assessments.

Table of Contents

1. Mathematical ModelingWhat is a Mathematical Model?2. Direct VariationHow is Mathematics Related to Bungee Jumping?3. Solving Equations and InequalitiesHow Can We Care for Our Forests?4. Measurement: Perimeter, Area and VolumeWhy is Package Design Important?5. Functions and Their RepresentationsHow Can You Find the Value of an Unknown Quantity?6. Describing DataHow Does the Census Help Us Understand Our Country?7. Linear Models from DataWhat Happened to Amelia Earhart?8. Systems of Equations and InequalitiesHow Are Business Decisions Made?9. Symmetry and TransformationsHow Do Archaeologists Use Mathematics to Study Past Civilizations?10. Exponential FunctionsWill the World Have Enough Water?11. Quadratic FunctionsIs it a Parabola?12. Indirect MeasurementHow Can You Determine the Height of a Model Rocket?13. Periodic Functions and SoundHow Are Music and Repeated Motion Related?14. ProbabilityWhat Are the Chances?15. The Mathematics of Personal FinanceHow Much Do I Need to Cover My Personal Expenses?

Nancy Crisler

Gary Simundza

Region IV Ed Service Ctr

COMAP

With the emphasis the Common Core State Standards (CCSS) places on modeling, Modeling With Mathematics: A Fourth Year Course (Fourth Year 2e) addresses these modeling requirements while exploring how mathematics is ever-present in solving real-world problems. Intended for students fulfilling a fourth year math credit, the Fourth Year 2e program helps solidify students’ understanding by providing a different kind of learning experience. With Fourth Year 2e students model real-world applications with a functions approach netting a deeper grasp of the important concepts necessary for success on the forthcoming Common Core assessments.

Table of Contents

1. Mathematical ModelingWhat is a Mathematical Model?2. Direct VariationHow is Mathematics Related to Bungee Jumping?3. Solving Equations and InequalitiesHow Can We Care for Our Forests?4. Measurement: Perimeter, Area and VolumeWhy is Package Design Important?5. Functions and Their RepresentationsHow Can You Find the Value of an Unknown Quantity?6. Describing DataHow Does the Census Help Us Understand Our Country?7. Linear Models from DataWhat Happened to Amelia Earhart?8. Systems of Equations and InequalitiesHow Are Business Decisions Made?9. Symmetry and TransformationsHow Do Archaeologists Use Mathematics to Study Past Civilizations?10. Exponential FunctionsWill the World Have Enough Water?11. Quadratic FunctionsIs it a Parabola?12. Indirect MeasurementHow Can You Determine the Height of a Model Rocket?13. Periodic Functions and SoundHow Are Music and Repeated Motion Related?14. ProbabilityWhat Are the Chances?15. The Mathematics of Personal FinanceHow Much Do I Need to Cover My Personal Expenses?